证明:7的101次方减7的100次方能被42整除
人气:179 ℃ 时间:2019-08-20 10:26:14
解答
这里,乘方运算用^表示,乘法用*表示
7^101-7^100
=7*7^100-7^100
=(7-1)*7^100
=6*7^100
=6*7*7^99
=42*7^99
可见这个结果被42整除,结果应为7^99,即7的99次方
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